Work

On the approximation of identity in additive-invariant Banach function spaces

Year: 2025

Type: article

Abstract: Analog of Korovkin type theorem for the sequence of convolution operators in the subspaces of additive-invariant Banach spaces generated by the shift operator is obtained in this work. Convergence to the identity of the sequence of convolution operators with a positive approximate identity is proved. We also prove the convergence to the identity of Steklov operators in Marcinkiewicz spaces.

Source: Baku Mathematical Journal

DOI: 10.32010/j.bmj.2025.12

Authors: Migdad I. Ismailov, Chinara M. Gasanova

Institutions: Azerbaijan State Oil and Industry University, Ganja State University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4414537544

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